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Simplifying 8(t + -2) + 4t = 6(2t + 4) + -12 Reorder the terms: 8(-2 + t) + 4t = 6(2t + 4) + -12 (-2 * 8 + t * 8) + 4t = 6(2t + 4) + -12 (-16 + 8t) + 4t = 6(2t + 4) + -12 Combine like terms: 8t + 4t = 12t -16 + 12t = 6(2t + 4) + -12 Reorder the terms: -16 + 12t = 6(4 + 2t) + -12 -16 + 12t = (4 * 6 + 2t * 6) + -12 -16 + 12t = (24 + 12t) + -12 Reorder the terms: -16 + 12t = 24 + -12 + 12t Combine like terms: 24 + -12 = 12 -16 + 12t = 12 + 12t Add '-12t' to each side of the equation. -16 + 12t + -12t = 12 + 12t + -12t Combine like terms: 12t + -12t = 0 -16 + 0 = 12 + 12t + -12t -16 = 12 + 12t + -12t Combine like terms: 12t + -12t = 0 -16 = 12 + 0 -16 = 12 Solving -16 = 12 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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